Chapter SH, Problem 6.5.10EP

To determine

To find:The proportion that could be used to solve for each variable and the solution of the proportion.

Answer to Problem 6.5.10EP

The required proportion is $\frac{6}{1}=\frac{10}{d}$ and the solution is 1.7.

Explanation of Solution

Given information:

The rates: 6 plums at $1

And, 10 plums at d

The proportion from the given rates can be written as:

  $\frac{6}{1}=\frac{10}{d}$

To find the solution of the above proportion, use cross multiplication method.

Apply cross-multiplication on the above proportion and simplify for d .

  $\begin{array}{c}6\times d=10\times 1\\ 6d=10\end{array}$

Divide both sides of the above expression by 6.

  $\begin{array}{c}\frac{\cancel{6}d}{\cancel{6}}=\frac{10}{6}\\ d=1.666\\ d\approx 1.7\end{array}$

Hence, the required proportion is $\frac{6}{1}=\frac{10}{d}$ and the solution is 1.7.